24130330224 has 320 divisors, whose sum is σ = 85079221248. Its totient is φ = 5689958400.

The previous prime is 24130330181. The next prime is 24130330241. The reversal of 24130330224 is 42203303142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 24130330194 and 24130330203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2926812 + ... + 2935044.

Almost surely, 2^24130330224 is an apocalyptic number.

24130330224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42539610624).

24130330224 is an abundant number, since it is smaller than the sum of its proper divisors (60948891024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24130330224 is a wasteful number, since it uses less digits than its factorization.

24130330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 24130330224 its reverse (42203303142), we get a palindrome (66333633366).

The spelling of 24130330224 in words is "twenty-four billion, one hundred thirty million, three hundred thirty thousand, two hundred twenty-four".